On the Curvature of the Homogeneous Space U (n+1)/U (n)

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概要

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• We determine all torsion free invariant affine connections on the homogeneous space S^<2n+1>=U(n+1)/U(n), and characterize their curvatures in terms of the polynomials of their components in the space of curvature-like tensors. The essential difference between the case n=1 and n≥2 is explained in detail from the standpoint of flat affine geometry.

• 広島大学の論文
• 1993-12-31

著者

• Agaoka Yoshio

  Faculty Of Integrated Arts And Sciences Hiroshima University

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